What we will call a Poisson process with random mean?

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Suppose I have a random number $v$ distributed as $$v \sim \operatorname{Poisson}(\lambda)$$ now I have another random process $y$ which is given as $$y\sim \operatorname{Poisson}(v)$$ I want to know what we call such Poisson process and is there some literature available on the same?